Information on Result #2248687
Linear OA(7100, 5764828, F7, 14) (dual of [5764828, 5764728, 15]-code), using 1 times truncation based on linear OA(7101, 5764829, F7, 15) (dual of [5764829, 5764728, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(10) [i] based on
- linear OA(797, 5764801, F7, 15) (dual of [5764801, 5764704, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(773, 5764801, F7, 11) (dual of [5764801, 5764728, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(74, 28, F7, 3) (dual of [28, 24, 4]-code or 28-cap in PG(3,7)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(7100, 5764828, F7, 2, 14) (dual of [(5764828, 2), 11529556, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(7100, 5764828, F7, 3, 14) (dual of [(5764828, 3), 17294384, 15]-NRT-code) | [i] | ||
| 3 | Digital (86, 100, 5764828)-net over F7 | [i] | ||
| 4 | Linear OOA(7100, 2882414, F7, 2, 14) (dual of [(2882414, 2), 5764728, 15]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(7100, 1921609, F7, 3, 14) (dual of [(1921609, 3), 5764727, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(7100, 823546, F7, 14, 14) (dual of [(823546, 14), 11529544, 15]-NRT-code) | [i] | OA Folding and Stacking | |